A person who is 172 cm tall and weighs 710 newtons is driving a car at a speed of 82 kilometers per hour over a distance of 65 kilometers. The outside air temperature is 20°C and has a density of 1.2 kilograms per cubic meter (kg/m3). Convert all of the values given in this example from SI units to U.S. Customary units. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)(a)Convert the person's height from cm to ft.How many centimeters are in 1 ft? cmConvert 172 cm to ft. ft(b)Convert the person's weight from kg to lbf.How many newtons are equal to 1 lbf? NConvert 710 newtons to lbf. lbf(c)Convert the speed of the car from km/h to miles/h and ft/s.How many meters are equal to 1 foot? mHow many feet are in 1 mile? ftConvert 82 km/h to miles/h. miles/hExpress the speed of the car in ft/s. ft/s(d)Convert the distance traveled from km to miles.How many meters are in 1 kilometer? mHow many meters are in 1 foot? mHow many feet are in 1 mile? ftConvert 65 km to miles. miles(e)Convert the temperature of air from Celsius to Fahrenheit.What is the formula to convert the temperature from Celsius to Fahrenheit?T(°F) = T(°C) + Convert 20°C to °F. °F(f)Convert the density of air from kg/m3 to lbm/ft3.How many kilograms are equal to 1 lbm? kgHow many meters are equal to 1 ft? mConvert 1.2 kg/m3 to lbm/ft3. lbm/ft3
Question
A person who is 172 cm tall and weighs 710 newtons is driving a car at a speed of 82 kilometers per hour over a distance of 65 kilometers. The outside air temperature is 20°C and has a density of 1.2 kilograms per cubic meter (kg/m3). Convert all of the values given in this example from SI units to U.S. Customary units. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)(a)Convert the person's height from cm to ft.How many centimeters are in 1 ft? cmConvert 172 cm to ft. ft(b)Convert the person's weight from kg to lbf.How many newtons are equal to 1 lbf? NConvert 710 newtons to lbf. lbf(c)Convert the speed of the car from km/h to miles/h and ft/s.How many meters are equal to 1 foot? mHow many feet are in 1 mile? ftConvert 82 km/h to miles/h. miles/hExpress the speed of the car in ft/s. ft/s(d)Convert the distance traveled from km to miles.How many meters are in 1 kilometer? mHow many meters are in 1 foot? mHow many feet are in 1 mile? ftConvert 65 km to miles. miles(e)Convert the temperature of air from Celsius to Fahrenheit.What is the formula to convert the temperature from Celsius to Fahrenheit?T(°F) = T(°C) + Convert 20°C to °F. °F(f)Convert the density of air from kg/m3 to lbm/ft3.How many kilograms are equal to 1 lbm? kgHow many meters are equal to 1 ft? mConvert 1.2 kg/m3 to lbm/ft3. lbm/ft3
Solution
(a) Convert the person's height from cm to ft. 1 foot is equal to 30.48 cm. So, to convert 172 cm to feet, we divide 172 by 30.48. 172 cm = 5.64 feet.
(b) Convert the person's weight from newtons to lbf. 1 lbf is equal to 4.44822 newtons. So, to convert 710 newtons to lbf, we divide 710 by 4.44822. 710 newtons = 159.74 lbf.
(c) Convert the speed of the car from km/h to miles/h and ft/s. 1 mile is equal to 1.60934 kilometers. So, to convert 82 km/h to miles/h, we divide 82 by 1.60934. 82 km/h = 50.95 miles/h. 1 foot is equal to 0.3048 meters, and 1 hour is equal to 3600 seconds. So, to convert 50.95 miles/h to ft/s, we multiply 50.95 by 5280 (the number of feet in a mile) and then divide by 3600 (the number of seconds in an hour). 50.95 miles/h = 74.67 ft/s.
(d) Convert the distance traveled from km to miles. 1 mile is equal to 1.60934 kilometers. So, to convert 65 km to miles, we divide 65 by 1.60934. 65 km = 40.39 miles.
(e) Convert the temperature of air from Celsius to Fahrenheit. The formula to convert temperature from Celsius to Fahrenheit is T(°F) = T(°C) * 9/5 + 32. So, to convert 20°C to °F, we multiply 20 by 9/5 and then add 32. 20°C = 68°F.
(f) Convert the density of air from kg/m3 to lbm/ft3. 1 lbm is equal to 0.453592 kg, and 1 meter is equal to 3.28084 feet. So, to convert 1.2 kg/m3 to lbm/ft3, we multiply 1.2 by 0.453592 and then divide by (3.28084)^3. 1.2 kg/m3 = 0.075 lbm/ft3.
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